02630nam 2200613 450 99646658990331620220629195923.03-540-48798-010.1007/BFb0073995(CKB)1000000000437190(SSID)ssj0000325776(PQKBManifestationID)12124452(PQKBTitleCode)TC0000325776(PQKBWorkID)10253537(PQKB)10805528(DE-He213)978-3-540-48798-2(MiAaPQ)EBC5578338(Au-PeEL)EBL5578338(OCoLC)1066179387(MiAaPQ)EBC6743042(Au-PeEL)EBL6743042(OCoLC)793079374(PPN)155187341(EXLCZ)99100000000043719020220629d1994 uy 0engurnn|008mamaatxtccrPotential theory on infinite networks /Paolo M. Soardi1st ed. 1994.Berlin, Heidelberg :Springer-Verlag,[1994]©19941 online resource (VIII, 196 p.) Lecture Notes in Mathematics ;Volume 1590Bibliographic Level Mode of Issuance: Monograph3-540-58448-X Kirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries.The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.Lecture notes in mathematics (Berlin) ;Volume 1590.Potential theory (Mathematics)Network analysis (Planning)Potential theory (Mathematics)Network analysis (Planning)515.7Soardi Paolo M(Paolo Maurizio),1946-28151MiAaPQMiAaPQMiAaPQBOOK996466589903316Potential theory on infinite networks78724UNISA